Search a number
-
+
140521760 = 2553141691
BaseRepresentation
bin10000110000000…
…11000100100000
3100210102020121122
420120003010200
5241433144020
621535511412
73324262301
oct1030030440
9323366548
10140521760
1172359095
123b088568
1323160992
141493c7a8
15c50b125
hex8603120

140521760 has 96 divisors (see below), whose sum is σ = 351558144. Its totient is φ = 52992000.

The previous prime is 140521757. The next prime is 140521769. The reversal of 140521760 is 67125041.

140521760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140521769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203015 + ... + 203705.

It is an arithmetic number, because the mean of its divisors is an integer number (3662064).

Almost surely, 2140521760 is an apocalyptic number.

140521760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140521760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175779072).

140521760 is an abundant number, since it is smaller than the sum of its proper divisors (211036384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140521760 is a wasteful number, since it uses less digits than its factorization.

140521760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 140521760 is about 11854.1874457932. The cubic root of 140521760 is about 519.8936666206.

The spelling of 140521760 in words is "one hundred forty million, five hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 80 82 124 155 160 164 205 248 310 328 410 496 620 656 691 820 992 1240 1271 1312 1382 1640 2480 2542 2764 3280 3455 4960 5084 5528 6355 6560 6910 10168 11056 12710 13820 20336 21421 22112 25420 27640 28331 40672 42842 50840 55280 56662 85684 101680 107105 110560 113324 141655 171368 203360 214210 226648 283310 342736 428420 453296 566620 685472 856840 878261 906592 1133240 1713680 1756522 2266480 3427360 3513044 4391305 4532960 7026088 8782610 14052176 17565220 28104352 35130440 70260880 140521760